How to Find GCF of 7558/359, 4018/2454?

GCF of 7558/359, 4018/2454

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 7558/359, 4018/2454 i.e 2/880986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7558/359, 4018/2454.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 7558/359,4018/2454?

Given fractions are 7558/359,4018/2454

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 7558/359,4018/2454, numerators are 7558,4018

Denominators are 359,2454

The GCF of 7558,4018 is 2 .

LCM of 359,2454 is 880986.

The greatest common factor of 7558/359,4018/2454 = [GCF of 7558,4018]/[LCM of 359,2454]= 2/880986

Therefore, the GCF of 7558/359,4018/2454 is 2/880986.

Greatest Common Factor of 7558,4018

To find the highest common factor of 7558,4018, we have to find the factors of both numbers and list the highest common factor.

The factors of 7558 are 1, 2, 3779, 7558

The factors of 4018 are 1, 2, 7, 14, 41, 49, 82, 98, 287, 574, 2009, 4018

The HCF of 7558,4018 is 2.

Lets's calculate GCF of 7558,4018

Greatest Common Factor (GCF) of 7558,4018 By Common Division

2	7558, 4018
	3779, 2009

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7558,4018 By Matching Biggest Common Factor Method

Now, list down the factors of 7558

1,2,3779,7558

Now, list down the factors of 4018

1,2,7,14,41,49,82,98,287,574,2009,4018

Greatest Common Factor

We found the factors 7558,4018 . The biggest common factor number is the GCF number.
So the greatest common factor 7558,4018 is 2.

Lets's calculate LCM of 359,2454

Lowest Common Multiple of 359,2454 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 880986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/880986

Therefore, the GCF of Fractions 7558/359,4018/2454 is 2/880986

Least Common Multiple of 359,2454 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 359,2454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,2454) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(359,2454) x common factors =1 x 1 = 1

LCM(359,2454) = ( 359 × 2454 ) / 1

LCM(359,2454) = 880986 / 1

LCM(359,2454) = 880986

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 7558/359, 4018/2454

1. What is the HCF of 7558,4018?

The HCF of 7558,4018 is 2

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 7558/359, 4018/2454?

Answer: GCF of Numerators as per given numbers 7558/359, 4018/2454 is

GCF of Numerators i.e. for 7558,4018 is 2

LCM of denominators i.e. for 359,2454 is 880986.

Thus, GCF of Fractions is 2/880986.Finally, GCF of Fractions for 7558/359, 4018/2454 is 2/880986.